{
  "id": "2301.03277",
  "version": "v1",
  "published": "2023-01-09T11:31:36.000Z",
  "updated": "2023-01-09T11:31:36.000Z",
  "title": "Functionals for the Study of LCK Metrics on Compact Complex Manifolds",
  "authors": [
    "Dan Popovici",
    "Erfan Soheil"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG",
    "math.AG",
    "math.CV"
  ],
  "abstract": "We propose an approach to the existence problem for locally conformally K\\\"ahler metrics on compact complex manifolds by introducing and studying a functional that is different according to whether the complex dimension of the manifold is $2$ or higher.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-09T11:31:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact complex manifolds",
      "lck metrics",
      "functional",
      "existence problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}